A power series method for solving initial value problems utilizing computer algebra systems

Lawrence Schovanec, J. T. White

Research output: Contribution to journalArticlepeer-review

Abstract

This paper introduces an iterative method for generating the Taylor polynomial of the solution to an analytic initial value problem and is based upon the utilisation of a symbolic manipulation language. As developed here, the mth iterate of this procedure is precisely the mth degree Taylor polynomial of the solution. Error estimates are provided which are readily calculated with a computer algebra system. Examples are presented which illustrate the method and its ease of application.

Original languageEnglish
Pages (from-to)181-189
Number of pages9
JournalInternational Journal of Computer Mathematics
Volume47
Issue number3-4
DOIs
StatePublished - Jan 1 1993

Keywords

  • Initial value problems
  • symbolic manipulation

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